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Popular >

e^{2x}-10e^{-2x}=0

Solution

e^{2 x} - 10 e^{- 2 x} = 0

Solution

x = \frac{ln ( 10 )}{4}

+1

Decimal Notation

x = 0.57564 \dots

Solution steps

e^{2 x} - 10 e^{- 2 x} = 0

Add

10 e^{- 2 x}

to both sides

e^{2 x} - 10 e^{- 2 x} + 10 e^{- 2 x} = 0 + 10 e^{- 2 x}

Simplify

e^{2 x} = 10 e^{- 2 x}

Apply exponent rules

2 x = ln (10) - 2 x

Solve

2 x = ln (10) - 2 x : x = \frac{ln ( 10 )}{4}

x = \frac{ln ( 10 )}{4}

Popular Examples

cube root of 4^{x+2}}= 4/(\sqrt[5]{2)

(300*400)=12*10^x

(300 \cdot 400) = 12 \cdot 1 0^{x}

n^{3} = 1. 5^{n}

3 e^{x + 1} - 5 = 7

1 0^{1 - 2 x} = 11

Frequently Asked Questions (FAQ)

What is the answer to e^{2x}-10e^{-2x}=0 ?
The answer to e^{2x}-10e^{-2x}=0 is x=(ln(10))/4